- cross-polytopes or orthoplexes. The dual
polytope is the 5-hypercube or 5-cube.
pentacross,
derived from
combining the
family name
cross polytope with
pente for...
- /
Stericated 5-orthoplex /
Stericated pentacross Expanded penteract /
Expanded 5-orthoplex /
Expanded pentacross Small cellated penteractitriacontaditeron...
-
rectified pentacross rectified triacontiditeron (32-faceted 5-polytope)
There are two
Coxeter groups ****ociated with the
rectified pentacross, one with...
-
constructed as
second and
first truncations of the 5-cube.
Truncated pentacross Truncated triacontaditeron (Acronym: tot) (Jonathan Bowers) Cartesian...
- Four are more
simply constructed relative to the 5-cube.
Runcinated pentacross Small prismated triacontiditeron (Acronym: spat) (Jonathan Bowers) The...
- 5-dimensional
cross polytope.
Birectified 5-cube/penteract
Birectified pentacross/5-orthoplex/triacontiditeron
Penteractitriacontiditeron (acronym: nit)...
-
Bicantellated penteract,
bicantellated 5-orthoplex, or
bicantellated pentacross Small birhombated penteractitriacontiditeron (Acronym: sibrant) (Jonathan...
- 6-polytopes, but can be
extended backwards to
include the 5-orthoplex (
pentacross) in 5-dimensions, and the 4-simplex (5-cell) in 4-dimensions. Each polytope...
-
Tetracross {3,3,4} {3,31,1} 4{ } 8 24 32 16 1 5 β5 211 5-orthoplex
Pentacross {33,4} {3,3,31,1} 5{ } 10 40 80 80 32 1 6 β6 311 6-orthoplex...
- Name Schläfli 4-faces
Cells Faces Edges Vertices χ hemi-penteract {4,3,3,3}/2 5 20 40 40 16 1 hemi-
pentacross {3,3,3,4}/2 16 40 40 20 5 1...
